Dispersive approach to non-Abelian axial anomaly

Abstract

Manifestations of strong and electromagnetic axial anomalies in two-photon decays of $\eta$ and ${\eta }^{\prime }$ mesons are studied. Applying dispersive approach to axial anomaly in the singlet current, we obtain an anomaly sum rule containing strong and electromagnetic anomaly contributions. The relevant low energy theorem was generalized to the case of mixed states and used to evaluate the subtraction constant of the strong anomaly-related form factor $⟨0|G\tilde{G}|\gamma \gamma ⟩$. We made a numerical estimation of the contributions of gluon and electromagnetic anomalies to the two-photon decays of $\eta$ and ${\eta }^{\prime }$ mesons and found significant suppression of the gluon anomaly contribution.

arXiv comment10 pages

References in corpus (26)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Study of the eta-eta' system in the two mixing angle scheme
• Meson Transition Form Factors in Light-Front Holographic QCD
• Dispersive analysis for $\eta \to \gamma {\gamma }^{\ast }$
• Transition Form Factor gamma gamma* -> pi0 and QCD sum rules
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• ηand η' transition form factors from rational approximants
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Neutral Pion Lifetime Measurements and the QCD Chiral Anomaly
• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• Axial anomaly and the precise value of the ${\pi }^0\to 2\gamma$ decay width
• Axial anomaly as a collective effect of meson spectrum
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Modeling interactions of photons with pseudoscalar and vector mesons
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• Axial anomaly: the modern status
• Axial anomaly and mixing: from real to highly virtual photons
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Universal behaviour of the ${\gamma }^{\ast }\gamma \to ({\pi }^0,\eta ,{\eta }^{\prime })$ transition form factors
• Axial anomaly and vector meson dominance model
• Pion transition form factor in the constituent quark model
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• Quark-hadron duality, axial anomaly and mixing
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model

Cited by in corpus (1)

• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball